i hope this shld fix the pblm
https://gmat.bellcurves.com/content/gmat ... lained.php
This has some pblms too
https://regentsprep.org/Regents/math/geo ... exGP15.htm
Difference between length of arc and length of minor arc.
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Source: Beat The GMAT — Quantitative Reasoning |
This is an old post, but it comes up when you search for GMAT + length of arc. I had the same question and the first response given above has two links, first of which doesn't work.ssy wrote:What is the difference between these two formulas? When do we use which?
Length of arc= (degree of arc/360)[(2)(pi)(radius)]
and
Length of minor arc = (2)(angle of arc)
I did some research and my own analysis and am presenting my answer, hope this helps anybody else who stumbles upon this post:
Length of minor arc = (degree of arc/360)[(2)(pi)(radius)
Now, degree of arc = central angle inscribed by this arc.
Central angle, as the name suggests, is inscribed in the center; i.e. the vertex of the anle is the center of the circle. Central angle inscribed by an arc is twice the angle inscribed by the arc outside (in the circumference of the circle). This is what angle of arc in the first equation is.
i.e. Length of arc = 2 angle of arc *2(pi)(r)/360 = central angle * 2(pi)(r)/360.
